Existence of a Homoclinic Orbit of the Lorenz System by Precise Shooting-Reference-Cited by-同舟云学术

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Existence of a Homoclinic Orbit of the Lorenz System by Precise Shooting

Published:1994-01 Issue:1 Volume:25 Page:179-196
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Hassard Brian,Zhang Jianhe

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics,Analysis

Link

http://epubs.siam.org/doi/pdf/10.1137/S0036141092234827

Reference6 articles.

1. A shooting approach to the Lorenz equations

2. A Proof That the Lorenz Equations Have a Homoclinic Orbit

3. A computer proof that the Lorenz equations have “chaotic” solutions

4. Deterministic Nonperiodic Flow

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1. Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs;Chaos: An Interdisciplinary Journal of Nonlinear Science;2021-04

2. Synchronization of chaotic dynamical systems;International Journal of Dynamics and Control;2021-01-01

3. Singular Values, Exterior Calculus and Logarithmic Norms;Emergence, Complexity and Computation;2020-07-02

4. A Lorenz-type attractor in a piecewise-smooth system: Rigorous results;Chaos: An Interdisciplinary Journal of Nonlinear Science;2019-10

5. The existence of homoclinic orbits in the Lorenz system via the undetermined coefficient method;Applied Mathematics and Computation;2019-08

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