Results 171 to 180 of about 10,271 (227)
Let there be multifunctionality: Uncovering the criticality zoo of the AC-DC genetic circuit
Maretvadakethope S +5 more
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Homoclinic breather and rogue wave solutions to Maccari equation
Computers and Mathematics With Applications, 2020In this work, a new extended homoclinic test combining with breather period limit method (BPLM), for seeking homoclinic breather and rogue wave solution of nonlinear evolution (2+1)D Maccari equation, is proposed.
Ying Jiang
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On infinite homoclinic orbits induced by unstable periodic orbits in the Lorenz system.
Chaos, 2021In this paper, infinite homoclinic orbits existing in the Lorenz system are analytically presented. Such homoclinic orbits are induced by unstable periodic orbits on bifurcation trees through period-doubling cascades. Each unstable periodic orbit ends at
Siyu Guo, A. Luo
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Applied Mathematical Modelling, 2020
The homoclinic bifurcations and nonplanar chaotic waves in axially moving beam (AMB) under thermal excitation are investigated. By the multiple scale technique, the equivalent nonlinear system is derived to explore qualitatively the dynamical ...
Qiliang Wu, Guoyuan Qi
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The homoclinic bifurcations and nonplanar chaotic waves in axially moving beam (AMB) under thermal excitation are investigated. By the multiple scale technique, the equivalent nonlinear system is derived to explore qualitatively the dynamical ...
Qiliang Wu, Guoyuan Qi
semanticscholar +1 more source
Journal of Dynamics and Differential Equations, 2005
The famous Smale-Birkhoff theorem provides a criterion for chaotic behavior of dynamical systems. More precisely, the existence of transversal homoclinic orbits leads to hyperbolic sets containing the shift, a horseshoe and thus chaotic dynamics. In this interesting and well-written paper, the authors present a new and rigorous method to establish the ...
Coomes, B., Kocak, H., Palmer, K.
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The famous Smale-Birkhoff theorem provides a criterion for chaotic behavior of dynamical systems. More precisely, the existence of transversal homoclinic orbits leads to hyperbolic sets containing the shift, a horseshoe and thus chaotic dynamics. In this interesting and well-written paper, the authors present a new and rigorous method to establish the ...
Coomes, B., Kocak, H., Palmer, K.
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Physics Letters A, 1996
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Glendinning, Paul, Laing, Carlo
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Glendinning, Paul, Laing, Carlo
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Synchronization of Homoclinic Chaos
Physical Review Letters, 2001Physical Review ...
Allaria E +3 more
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Homoclinic points near degenerate homoclinics
Nonlinearity, 1995The authors establish the existence of a foliation in the space of parameters for which the corresponding differential systems admit homoclinic points.
Schalk, U., Knobloch, J.
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Archive for Rational Mechanics and Analysis, 2001
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Homburg, A.J., Kokubu, H., Naudot, V.
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Homburg, A.J., Kokubu, H., Naudot, V.
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SIAM Journal on Applied Dynamical Systems, 2002
Summary: We study homoclinic stripe patterns in the two-dimensional generalized Gierer-Meinhardt equation, where we interpret this equation as a prototypical representative of a class of singularly perturbed monostable reaction-diffusion equations. The structure of a stripe pattern is essentially one-dimensional; therefore, we can use results from the ...
Doelman, A., van der Ploeg, H.
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Summary: We study homoclinic stripe patterns in the two-dimensional generalized Gierer-Meinhardt equation, where we interpret this equation as a prototypical representative of a class of singularly perturbed monostable reaction-diffusion equations. The structure of a stripe pattern is essentially one-dimensional; therefore, we can use results from the ...
Doelman, A., van der Ploeg, H.
openaire +3 more sources