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Page 1
Border collision bifurcation of a resonant closed invariant curve.
Zhusubaliyev ZT, Avrutin V, Sushko I, Gardini L. Zhusubaliyev ZT, et al. Chaos. 2022 Apr;32(4):043101. doi: 10.1063/5.0086419. Chaos. 2022. PMID: 35489864
This paper contributes to studying the bifurcations of closed invariant curves in piecewise-smooth maps. Specifically, we discuss a border collision bifurcation of a repelling resonant closed invariant curve (a repelling saddle-node connection) colliding with the bo …
This paper contributes to studying the bifurcations of closed invariant curves in piecewise-smooth maps. Specifically, we discuss a b …
Pattern selection mechanism from the equilibrium point and limit cycle.
Zheng Q, Shen J, Pandey V, Yuan X, Guan L. Zheng Q, et al. Chaos. 2024 Feb 1;34(2):023124. doi: 10.1063/5.0187810. Chaos. 2024. PMID: 38377290
We investigate the emergence of Turing instability from a stable equilibrium and a limit cycle to illustrate the dynamical and biological mechanisms of pattern formation. We identify the Hopf bifurcation to demonstrate the existence of a stable limit cycle using First Lyap …
We investigate the emergence of Turing instability from a stable equilibrium and a limit cycle to illustrate the dynamical and biological me …
Understanding biological control with entomopathogenic fungi-Insights from a stochastic pest-pathogen model.
Djouda BS, Ndjomatchoua FT, Moukam Kakmeni FM, Tchawoua C, Tonnang HEZ. Djouda BS, et al. Chaos. 2021 Feb;31(2):023126. doi: 10.1063/5.0019971. Chaos. 2021. PMID: 33653067
The model is formulated as a continuous time Markov process, which is then decomposed into a deterministic dynamics using stochastic corrections and system size expansion. The stability and bifurcation analysis shows that the system dynamic is strongly affected by the cont …
The model is formulated as a continuous time Markov process, which is then decomposed into a deterministic dynamics using stochastic correct …
Period-doubling bifurcation in surface radio-frequency trap: Transition to chaos through Feigenbaum scenario.
Rudyi SS, Rybin VV, Semynin MS, Shcherbinin DP, Rozhdestvensky YV, Ivanov AV. Rudyi SS, et al. Chaos. 2023 Sep 1;33(9):093133. doi: 10.1063/5.0157397. Chaos. 2023. PMID: 37738231
We have numerically investigated the dynamics of charged microparticles in a "five-wire" surface radio-frequency trap. The period-doubling bifurcation conditions have been shown to depend on the particle, the trap, and the alternating voltage parameters. For a comprehensiv …
We have numerically investigated the dynamics of charged microparticles in a "five-wire" surface radio-frequency trap. The period-doubling …
Amplitude response, Melnikov's criteria, and chaos occurrence in a Duffing's system subjected to an external periodic excitation with a variable shape.
Ndjomatchoua FT, Djomo TLM, Kemwoue FF, Gninzanlong CL, Kepnang MP, Siewe MS, Tchawoua C, Pedro SA, Kofane TC. Ndjomatchoua FT, et al. Chaos. 2022 Aug;32(8):083144. doi: 10.1063/5.0082235. Chaos. 2022. PMID: 36049915
The critical driving magnitude for the chaos occurrence is investigated through Melnikov's method. Numerical analysis based on bifurcation diagrams and Lyapunov exponent is used to show how chaos occurs in the system. ...
The critical driving magnitude for the chaos occurrence is investigated through Melnikov's method. Numerical analysis based on bifurcatio …
Dynamical disease: Identification, temporal aspects and treatment strategies of human illness.
Belair J, Glass L, An Der Heiden U, Milton J. Belair J, et al. Chaos. 1995 Mar;5(1):1-7. doi: 10.1063/1.166069. Chaos. 1995. PMID: 12780147
This paper summarizes advances in the study of dynamical disease with emphasis on a NATO Advanced Research Worshop held in Mont Tremblant, Quebec, Canada in February 1994. We describe the international effort currently underway to identify dynamical diseases and to study t …
This paper summarizes advances in the study of dynamical disease with emphasis on a NATO Advanced Research Worshop held in Mont Tremblant, Q …
On the chaotic pole of attraction for Hindmarsh-Rose neuron dynamics with external current input.
Doungmo Goufo EF, Tabi CB. Doungmo Goufo EF, et al. Chaos. 2019 Feb;29(2):023104. doi: 10.1063/1.5083180. Chaos. 2019. PMID: 30823721
Since the neurologists Hindmarsh and Rose improved the Hodgkin-Huxley model to provide a better understanding on the diversity of neural response, features like pole of attraction unfolding complex bifurcation for the membrane potential was still a mystery. This work explo …
Since the neurologists Hindmarsh and Rose improved the Hodgkin-Huxley model to provide a better understanding on the diversity of neural res …
Model-free prediction of multistability using echo state network.
Roy M, Mandal S, Hens C, Prasad A, Kuznetsov NV, Dev Shrimali M. Roy M, et al. Chaos. 2022 Oct;32(10):101104. doi: 10.1063/5.0119963. Chaos. 2022. PMID: 36319300
Interestingly, a machine is able to reproduce the dynamics almost perfectly even at distant parameters, which lie considerably far from the parameter values related to the training dynamics. In continuation, we can predict whole bifurcation diagram significant accuracy as …
Interestingly, a machine is able to reproduce the dynamics almost perfectly even at distant parameters, which lie considerably far from the …
Numerical study of reverse period doubling route from chaos to stability in a two-mode intracavity doubled Nd-YAG laser.
Kuruvilla T, Nandakumaran VM. Kuruvilla T, et al. Chaos. 1999 Mar;9(1):208-212. doi: 10.1063/1.166392. Chaos. 1999. PMID: 12779815
It is found that when the parameter, which is a measure of the relative orientations of the KTP crystal with respect to the Nd-YAG crystal, is varied continuously, the output intensity fluctuations change from chaotic to stable behavior through a sequence of reverse period doubli …
It is found that when the parameter, which is a measure of the relative orientations of the KTP crystal with respect to the Nd-YAG crystal, …
13 results