Uniqueness of Algebraic Limit Cycles for Quadratic Systems

JOURNAL ARTICLE published September 2001 in Journal of Mathematical Analysis and Applications

Authors: Javier Chavarriga | Hector Giacomini | Jaume Llibre

Rigidity of horospherical foliations

JOURNAL ARTICLE published March 1989 in Ergodic Theory and Dynamical Systems

Authors: Dave Witte

Separatrix and Limit Cycles of Quadratic Systems and Dulac's Theorem

JOURNAL ARTICLE published August 1983 in Transactions of the American Mathematical Society

Authors: Carmen Chicone | Douglas S. Shafer

Number of Limit Cycles for Planar Systems with Invariant Algebraic Curves

JOURNAL ARTICLE published June 2023 in Qualitative Theory of Dynamical Systems

Authors: Armengol Gasull | Hector Giacomini

Visualization of Four Limit Cycles in Near-Integrable Quadratic Polynomial Systems

JOURNAL ARTICLE published 15 December 2020 in International Journal of Bifurcation and Chaos

Research funded by Natural Sciences and Engineering Research Council of Canada (R2686A02)

Authors: Pei Yu | Yanni Zeng

A simple proof for monotonicity of entropy in the quadratic family

JOURNAL ARTICLE published June 2000 in Ergodic Theory and Dynamical Systems

Authors: MASATO TSUJII

Limit theorems of probability theory and optimality in linear controlled systems with quadratic cost

BOOK CHAPTER published in Stochastic Differential Systems

Authors: Petr Mandl

Separatrix and limit cycles of quadratic systems and Dulac’s theorem

JOURNAL ARTICLE published 1983 in Transactions of the American Mathematical Society

Authors: Carmen Chicone | Douglas S. Shafer

Algebraic Limit Cycles on Quadratic Polynomial Differential Systems

JOURNAL ARTICLE published May 2018 in Proceedings of the Edinburgh Mathematical Society

Authors: Jaume Llibre | Claudia Valls

Quadratic polynomial automorphisms of dynamical degree golden ratio of [open face C]3

JOURNAL ARTICLE published June 2001 in Ergodic Theory and Dynamical Systems

Authors: KAZUTOSHI MAEGAWA

Total disconnectedness of Julia sets of random quadratic polynomials

JOURNAL ARTICLE published May 2022 in Ergodic Theory and Dynamical Systems

Authors: KRZYSZTOF LECH | ANNA ZDUNIK

Weakly expanding skew-products of quadratic maps

JOURNAL ARTICLE published October 2003 in Ergodic Theory and Dynamical Systems

Authors: JÉRÔME BUZZI | OLIVIER SESTER | MASATO TSUJII

Almost inductive limit automorphisms and embeddings into AF-algebras

JOURNAL ARTICLE published September 1986 in Ergodic Theory and Dynamical Systems

Authors: Dan Voiculescu

Limit measures for affine cellular automata II

JOURNAL ARTICLE published December 2004 in Ergodic Theory and Dynamical Systems

Authors: MARCUS PIVATO | REEM YASSAWI

Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop

JOURNAL ARTICLE published May 2008 in Nonlinear Analysis: Theory, Methods & Applications

Authors: Rasoul Asheghi | Hamid R.Z. Zangeneh

Uniqueness of Limit Cycles for Liénard Systems. A Generalization of Massera’s Theorem

JOURNAL ARTICLE published January 2009 in Qualitative Theory of Dynamical Systems

Authors: Linda Ciambellotti

On the Central Limit Theorem for Toeplitz Quadratic Forms of Stationary Sequences

JOURNAL ARTICLE published January 2005 in Theory of Probability & Its Applications

Authors: M. S. Ginovyan | A. A. Sahakyan

QUADRATIC SYSTEMS WITH AN ALGEBRAIC LIMIT CYCLE OF DEGREE 2 OR 4 DO NOT HAVE A LIOUVILLIAN FIRST INTEGRAL

PROCEEDINGS ARTICLE published February 2005 in EQUADIFF 2003

Authors: J. CHAVARRIGA | H. GIACOMINI | M. GRAU

Bifurcation and Distribution of Limit Cycles for Quadratic Differential Systems of Type II

JOURNAL ARTICLE published May 1999 in Journal of Mathematical Analysis and Applications

Authors: Zhang Xiang

On the (1, 3) distributions of limit cycles of plane quadratic systems

JOURNAL ARTICLE published May 1994 in Applied Mathematics and Mechanics

Authors: Lin Xiao-lin | Dang Xin-yi