Theory of limit cycles / Ye Yan-Qian and Cai Sui-lin ... [et al.] ; translated by Chi Y. Lo.

Format:

Book

Author/Creator:

Ye, Yanqian.

Contributor:

Cai, Sui-lin.

Lo, Chi Y. (Chi Yeung)

Series:

Translations of Mathematical Monographs, 2472-5137 ; v. 66

Standardized Title:

Ji xian huan lun. English

Language:

Chinese

English

Subjects (All):

Differential equations.

Limit cycles.

Physical Description:

1 online resource (xi, 435 p. : ill.)

Place of Publication:

Providence, R.I. : American Mathematical Society, c1986.

System Details:

Mode of access : World Wide Web

Contents:

Introduction Fundamental Concepts, Concrete Examples, and Several Criteria to Establish Existence and Nonexistence of Limit Cycles Multiplicity and Stability of Limit Cycles Limit Cycles in Rotated Vector Fields General Behavior of Limit Cycles Depending on a Parameter Existence of a Limit Cycle Uniqueness of a Limit Cycle Existence of Several Limit Cycles Structural Stability of Differential Systems Work of M. Frommer and N. N. Bautin Global Structural Analysis of Some Quadratic Systems without Limit Cycles General Properties and Relative Positions of Limit Cycles in Quadratic Differential Systems Classification of Quadratic Differential Systems. Limit Cycles of Equations of Class I Global Structure of Trajectories of Equations of Class II without Limit Cycles Relative Positions of Limit Cycles and Conditions for Having at Most One and Two Limit Cycles in Equations of Class II Some Local and Global Properties of Equations of Class III The Method of Dulac Functions in the Qualitative Study of Quadratic Systems Limit Cycles in Bounded Quadratic Systems Appendix

Notes:

Translation of: Ji xian huan lun, 2nd ed.

Bibliography: p. 415-435.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Ye, Yanqian. Theory of limit cycles /

ISBN:

9781470444808 (online)

Access Restriction:

Restricted for use by site license.