Interpretation:
To rewrite the given system in polar coordinates. There is at least only limit cycle, and that if there are so many, they all have the similar period
Concept Introduction:
Poincare
Poincare
If there are no fixed points in the trapping region R, then according to the Poincare
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Nonlinear Dynamics and Chaos
- Show that the three points (x1,y1)(x2,y2) and (x3,y3) in the a plane are collinear if and only if the matrix [x1y11x2y21x3y31] has rank less than 3.arrow_forwardFind a basis B for R3 such that the matrix for the linear transformation T:R3R3, T(x,y,z)=(2x2z,2y2z,3x3z), relative to B is diagonal.arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning