The existence of Silnikovs orbits in a four-dimensional dynamical system is discussed. The existence of Silnikovs orbit resulting in chaotic dynamics is established by the fiber structure of invariant manifold and hig...The existence of Silnikovs orbits in a four-dimensional dynamical system is discussed. The existence of Silnikovs orbit resulting in chaotic dynamics is established by the fiber structure of invariant manifold and high-dimensional Melnikov method. Numerical simulations are given to demonstrate the theoretical analysis.展开更多
基金Supported by National Key Basic Research Special Foundation (No.G1998020307)the Youth Foundation of BUCT (No.QN0138).
文摘The existence of Silnikovs orbits in a four-dimensional dynamical system is discussed. The existence of Silnikovs orbit resulting in chaotic dynamics is established by the fiber structure of invariant manifold and high-dimensional Melnikov method. Numerical simulations are given to demonstrate the theoretical analysis.
