Results 161 to 170 of about 481 (186)
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Generating Chaos with Saddle-Focus Homoclinic Orbit
International Journal of Bifurcation and ChaosThis paper develops an anticontrol approach to design a 3D continuous-time autonomous chaotic system with saddle-focus homoclinic orbit, based on two chaotification criterions for all orbits to be globally bounded with positive Lyapunov exponents.
Chaoxia Zhang +2 more
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Infinity of minimal homoclinic orbits
Nonlinearity, 2011The existence of homoclinic orbits for positive definite Lagrangians to hyperbolic tori (or Aubrey sets) has been proved by many authors. In this paper the author considers Lagrangian functions \(L\in C^2(TM\times \mathbb{R}, \mathbb{R})\) that are positive definite, have superlinear growth, are complete and \(1\)-periodic in the real factor.
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A Homoclinic Orbit for the Double Pendulum
1999We consider a Hamiltonian system of two connected pendulums for the case of small mass of the second oscillator. We are interested in a homoclinic orbit for such system and present the equation for it.
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Existence of homoclinic orbit of Shilnikov type and the application in Rössler system
Mathematics and Computers in Simulation, 2023Yuting Ding
exaly
Nonstationary homoclinic orbit for an infinite-dimensional fractional reaction-diffusion system
Discrete and Continuous Dynamical Systems - Series B, 2021Xianhua Tang
exaly
Computational recovery of the homoclinic orbit in porous media convection
International Journal of Non-Linear Mechanics, 1999Peter Vadasz
exaly
CODIMENSION 3 BIFURCATIONS OF HOMOCLINIC ORBITS WITH ORBIT FLIPS AND INCLINATION FLIPS
Chinese Annals of Mathematics Series B, 2004Deming Zhu
exaly