A5062088279- Advanced Differential Equations and Dynamical Systems
- Quantum chaos and dynamical systems
- Mathematical Dynamics and Fractals
- Spacecraft Dynamics and Control
- Advanced Differential Geometry Research
- Lipid metabolism and biosynthesis
- Functional Equations Stability Results
- Mathematical and Theoretical Epidemiology and Ecology Models
- Astro and Planetary Science
- Nonlinear Dynamics and Pattern Formation
- Chaos control and synchronization
- Mathematical Control Systems and Analysis
- Mathematics and Applications
- Control and Dynamics of Mobile Robots
- Point processes and geometric inequalities
Zhejiang Normal University
2004-2013
Shanghai University
2006-2007
Iteration of a planar piecewise isometry may generate an invariant disk packing, and understanding the properties packing is helpful for estimating Lebesgue measure exceptional set isometry. If not dense, then positive. But it easy to check density packing. In this paper, authors present necessary sufficient conditions general discuss some packings isometries.
We consider the problem of finding limit cycles for a class quintic polynomial differential systems and their global shape in plane. An answer to this can be given using averaging theory. More precisely, we analyze which bifurcate from Hopf bifurcation periodic orbits linear center <i>ẋ</i>=-<i>y</i>, <i>ẏ</i>=<i>x</i>, respectively.
Heteroclinic bifurcations in four-dimensional vector fields are investigated by setting up local coordinates near a heteroclinic loop. This loop consists of two principal orbits, but there is one stable foliation that involves an inclination flip. The existence, nonexistence, coexistence and uniqueness the 1-heteroclinic loop, 1-homoclinic orbit, 1-periodic orbit studied. Also, existence 2-homoclinic 2-periodic demonstrated.
Using bifurcation methods and the Abelian integral, we investigate number of limit cycles that bifurcate from period annulus singular point when perturb planar ordinary differential equations form <svg style="vertical-align:-3.56265pt;width:98.675003px;" id="M1" height="16.625" version="1.1" viewBox="0 0 98.675003 16.625" width="98.675003" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,9.262,11.95)"><path id="x307" d="M-161...