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For: Ngonghala CN, Feudel U, Showalter K. Extreme multistability in a chemical model system. Phys Rev E Stat Nonlin Soft Matter Phys 2011;83:056206. [PMID: 21728629 DOI: 10.1103/physreve.83.056206] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/02/2010] [Indexed: 05/31/2023]
Number Cited by Other Article(s)
1
Davidsen J, Maistrenko Y, Showalter K. Introduction to Focus Issue: Chimera states: From theory and experiments to technology and living systems. CHAOS (WOODBURY, N.Y.) 2024;34:120402. [PMID: 39642239 DOI: 10.1063/5.0249682] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/19/2024] [Accepted: 11/21/2024] [Indexed: 12/08/2024]
2
Gogoi PB, Ghosh R, Ghoshal D, Prasad A, Ramaswamy R. Exactly solvable Stuart-Landau models in arbitrary dimensions. Phys Rev E 2024;110:L032202. [PMID: 39425412 DOI: 10.1103/physreve.110.l032202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/02/2024] [Accepted: 09/10/2024] [Indexed: 10/21/2024]
3
Sriram G, Parastesh F, Natiq H, Rajagopal K, Meucci R, Jafari S. Multistable ghost attractors in a switching laser system. CHAOS (WOODBURY, N.Y.) 2023;33:113119. [PMID: 37967263 DOI: 10.1063/5.0174028] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/27/2023] [Accepted: 10/19/2023] [Indexed: 11/17/2023]
4
Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator. MATHEMATICS 2022. [DOI: 10.3390/math10050754] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
5
Safonov DA, Vanag VK. Oscillatory microcells connected on a ring by chemical waves. CHAOS (WOODBURY, N.Y.) 2021;31:063134. [PMID: 34241281 DOI: 10.1063/5.0046051] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/31/2021] [Accepted: 06/03/2021] [Indexed: 06/13/2023]
6
Fan H, Kong LW, Wang X, Hastings A, Lai YC. Synchronization within synchronization: transients and intermittency in ecological networks. Natl Sci Rev 2020;8:nwaa269. [PMID: 34858600 PMCID: PMC8566182 DOI: 10.1093/nsr/nwaa269] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/05/2020] [Revised: 09/28/2020] [Accepted: 09/28/2020] [Indexed: 11/13/2022]  Open
7
Jordan ID, Park IM. Birhythmic Analog Circuit Maze: A Nonlinear Neurostimulation Testbed. ENTROPY 2020;22:e22050537. [PMID: 33286310 PMCID: PMC7517031 DOI: 10.3390/e22050537] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/29/2020] [Revised: 05/04/2020] [Accepted: 05/09/2020] [Indexed: 12/16/2022]
8
Meng Y, Jiang J, Grebogi C, Lai YC. Noise-enabled species recovery in the aftermath of a tipping point. Phys Rev E 2020;101:012206. [PMID: 32069632 DOI: 10.1103/physreve.101.012206] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2019] [Indexed: 11/07/2022]
9
Dudkowski D, Czołczyński K, Kapitaniak T. Multistability and basin stability in coupled pendulum clocks. CHAOS (WOODBURY, N.Y.) 2019;29:103140. [PMID: 31675809 DOI: 10.1063/1.5118726] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/04/2019] [Accepted: 10/07/2019] [Indexed: 06/10/2023]
10
Louodop P, Tchitnga R, Fagundes FF, Kountchou M, Kamdoun Tamba V, Pando L CL, Cerdeira HA. Extreme multistability in a Josephson-junction-based circuit. Phys Rev E 2019;99:042208. [PMID: 31108673 DOI: 10.1103/physreve.99.042208] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2018] [Indexed: 06/09/2023]
11
Complex Dynamics in a Memcapacitor-Based Circuit. ENTROPY 2019;21:e21020188. [PMID: 33266903 PMCID: PMC7514669 DOI: 10.3390/e21020188] [Citation(s) in RCA: 29] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/11/2019] [Revised: 02/11/2019] [Accepted: 02/14/2019] [Indexed: 11/25/2022]
12
A Chaotic System with Infinite Equilibria and Its S-Box Constructing Application. APPLIED SCIENCES-BASEL 2018. [DOI: 10.3390/app8112132] [Citation(s) in RCA: 36] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
13
Godara P, Dudkowski D, Prasad A, Kapitaniak T. New topological tool for multistable dynamical systems. CHAOS (WOODBURY, N.Y.) 2018;28:111101. [PMID: 30501226 DOI: 10.1063/1.5062598] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/25/2018] [Accepted: 10/18/2018] [Indexed: 06/09/2023]
14
Wang G, Xu H, Lai YC. Emergence, evolution, and control of multistability in a hybrid topological quantum/classical system. CHAOS (WOODBURY, N.Y.) 2018;28:033601. [PMID: 29604629 DOI: 10.1063/1.4998244] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
15
Feudel U, Pisarchik AN, Showalter K. Multistability and tipping: From mathematics and physics to climate and brain-Minireview and preface to the focus issue. CHAOS (WOODBURY, N.Y.) 2018;28:033501. [PMID: 29604626 DOI: 10.1063/1.5027718] [Citation(s) in RCA: 36] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
16
Ryashko L. Sensitivity analysis of the noise-induced oscillatory multistability in Higgins model of glycolysis. CHAOS (WOODBURY, N.Y.) 2018;28:033602. [PMID: 29604640 DOI: 10.1063/1.4989982] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
17
Wang G, Yuan F, Chen G, Zhang Y. Coexisting multiple attractors and riddled basins of a memristive system. CHAOS (WOODBURY, N.Y.) 2018;28:013125. [PMID: 29390635 DOI: 10.1063/1.5004001] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
18
Zhang X, Chen G. Constructing an autonomous system with infinitely many chaotic attractors. CHAOS (WOODBURY, N.Y.) 2017;27:071101. [PMID: 28764393 DOI: 10.1063/1.4986356] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
19
Yadav K, Kamal NK, Shrimali MD. Intermittent feedback induces attractor selection. Phys Rev E 2017;95:042215. [PMID: 28505827 DOI: 10.1103/physreve.95.042215] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2016] [Indexed: 11/07/2022]
20
Wagner N, Mukherjee R, Maity I, Peacock-Lopez E, Ashkenasy G. Bistability and Bifurcation in Minimal Self-Replication and Nonenzymatic Catalytic Networks. Chemphyschem 2017;18:1842-1850. [PMID: 28112462 DOI: 10.1002/cphc.201601293] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2016] [Revised: 01/23/2017] [Indexed: 11/08/2022]
21
Yuan F, Wang G, Wang X. Extreme multistability in a memristor-based multi-scroll hyper-chaotic system. CHAOS (WOODBURY, N.Y.) 2016;26:073107. [PMID: 27475067 DOI: 10.1063/1.4958296] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
22
Ngonghala CN, Teboh-Ewungkem MI, Ngwa GA. Observance of period-doubling bifurcation and chaos in an autonomous ODE model for malaria with vector demography. THEOR ECOL-NETH 2016. [DOI: 10.1007/s12080-016-0293-0] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
23
Karnatak R. Linear Augmentation for Stabilizing Stationary Solutions: Potential Pitfalls and Their Application. PLoS One 2015;10:e0142238. [PMID: 26544879 PMCID: PMC4636295 DOI: 10.1371/journal.pone.0142238] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/23/2015] [Accepted: 10/18/2015] [Indexed: 11/19/2022]  Open
24
Sevilla-Escoboza R, Pisarchik AN, Jaimes-Reátegui R, Huerta-Cuellar G. Selective monostability in multi-stable systems. Proc Math Phys Eng Sci 2015. [DOI: 10.1098/rspa.2015.0005] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
25
Nagy T, Verner E, Gáspár V, Kori H, Kiss IZ. Delayed feedback induced multirhythmicity in the oscillatory electrodissolution of copper. CHAOS (WOODBURY, N.Y.) 2015;25:064608. [PMID: 26117133 DOI: 10.1063/1.4921694] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/18/2023]
26
Hens C, Dana SK, Feudel U. Extreme multistability: Attractor manipulation and robustness. CHAOS (WOODBURY, N.Y.) 2015;25:053112. [PMID: 26026324 DOI: 10.1063/1.4921351] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
27
Sprott JC, Li C. Comment on "how to obtain extreme multistability in coupled dynamical systems". PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014;89:066901. [PMID: 25019916 DOI: 10.1103/physreve.89.066901] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/16/2013] [Indexed: 06/03/2023]
28
Hens CR, Banerjee R, Feudel U, Dana SK. Reply to "comment on 'how to obtain extreme multistability in coupled dynamical systems' ". PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014;89:066902. [PMID: 25019917 DOI: 10.1103/physreve.89.066902] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/26/2013] [Indexed: 06/03/2023]
29
Patel MS, Patel U, Sen A, Sethia GC, Hens C, Dana SK, Feudel U, Showalter K, Ngonghala CN, Amritkar RE. Experimental observation of extreme multistability in an electronic system of two coupled Rössler oscillators. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014;89:022918. [PMID: 25353556 DOI: 10.1103/physreve.89.022918] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/04/2013] [Indexed: 06/04/2023]
30
Karnatak R. Three-body interactions with time delay. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013;88:032915. [PMID: 24125333 DOI: 10.1103/physreve.88.032915] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/25/2012] [Revised: 08/08/2013] [Indexed: 06/02/2023]
31
Hens CR, Banerjee R, Feudel U, Dana SK. How to obtain extreme multistability in coupled dynamical systems. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012;85:035202. [PMID: 22587141 DOI: 10.1103/physreve.85.035202] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/30/2011] [Indexed: 05/31/2023]
32
Ivanović-Šašić AZ, Marković VM, Anić SR, Kolar-Anić LZ, Cupić ŽD. Structures of chaos in open reaction systems. Phys Chem Chem Phys 2011;13:20162-71. [PMID: 21993658 DOI: 10.1039/c1cp22496d] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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