The book "Regular and Chaotic Dynamics" is the second revised and expanded edition of "Regular and Stochastic Motion," published in 1983. It covers both Hamiltonian and dissipative systems, with a focus on intrinsic stochasticity in Hamiltonian systems and dynamics not involving physical motion. The book expands on dissipative dynamics, including topics like renormalization, circle maps, intermittency, crises, transient chaos, multifractals, and coupled mapping systems. It also includes new topics in Hamiltonian systems, such as more general transformation and stability theory, connected stochasticity in two-dimensional maps, and converse KAM theory. The book is intended for physical scientists and engineers who wish to enter the field, as well as a reference for those already familiar with the methods. It may also be used as an advanced graduate textbook in mechanics. The book includes a comprehensive overview of stochastic motion in nonlinear oscillator systems, with applications in various scientific and engineering fields. It discusses intrinsic stochasticity in Hamiltonian systems, where the stochastic motion is generated by the dynamics itself, and the effects of noise in modifying the intrinsic motion. The book also provides a thorough introduction to chaotic motion in dissipative systems. The first edition was published in 1983, and the second edition includes new developments in the field, including monographs by Guckenheimer and Holmes, and Sagdeev et al. The book is written for a broad audience, with an emphasis on physical insight rather than mathematical rigor. It presents practical methods for describing motion, determining the transition from regular to stochastic behavior, and characterizing stochasticity. The book includes a detailed review of the required background material in Sections 1.2 and 1.3. The core ideas of the book, concerning intrinsic stochasticity in Hamiltonian systems, are introduced in Section 1.4. The subsequent exposition in Chapters 2–6 proceeds from the regular to the stochastic. The book includes a detailed discussion of mappings and linear stability, transition to global stochasticity, stochastic motion and diffusion, and bifurcation phenomena and transition to chaos in dissipative systems. It also covers chaotic motion in dissipative systems, including transient chaos, invariant distributions on strange attractors, multifractals, and spatio-temporal dynamics. The book includes appendices on applications, such as planetary motion, accelerators and beams, charged particle confinement, and quantum systems. The bibliography and author and subject indexes are also included.The book "Regular and Chaotic Dynamics" is the second revised and expanded edition of "Regular and Stochastic Motion," published in 1983. It covers both Hamiltonian and dissipative systems, with a focus on intrinsic stochasticity in Hamiltonian systems and dynamics not involving physical motion. The book expands on dissipative dynamics, including topics like renormalization, circle maps, intermittency, crises, transient chaos, multifractals, and coupled mapping systems. It also includes new topics in Hamiltonian systems, such as more general transformation and stability theory, connected stochasticity in two-dimensional maps, and converse KAM theory. The book is intended for physical scientists and engineers who wish to enter the field, as well as a reference for those already familiar with the methods. It may also be used as an advanced graduate textbook in mechanics. The book includes a comprehensive overview of stochastic motion in nonlinear oscillator systems, with applications in various scientific and engineering fields. It discusses intrinsic stochasticity in Hamiltonian systems, where the stochastic motion is generated by the dynamics itself, and the effects of noise in modifying the intrinsic motion. The book also provides a thorough introduction to chaotic motion in dissipative systems. The first edition was published in 1983, and the second edition includes new developments in the field, including monographs by Guckenheimer and Holmes, and Sagdeev et al. The book is written for a broad audience, with an emphasis on physical insight rather than mathematical rigor. It presents practical methods for describing motion, determining the transition from regular to stochastic behavior, and characterizing stochasticity. The book includes a detailed review of the required background material in Sections 1.2 and 1.3. The core ideas of the book, concerning intrinsic stochasticity in Hamiltonian systems, are introduced in Section 1.4. The subsequent exposition in Chapters 2–6 proceeds from the regular to the stochastic. The book includes a detailed discussion of mappings and linear stability, transition to global stochasticity, stochastic motion and diffusion, and bifurcation phenomena and transition to chaos in dissipative systems. It also covers chaotic motion in dissipative systems, including transient chaos, invariant distributions on strange attractors, multifractals, and spatio-temporal dynamics. The book includes appendices on applications, such as planetary motion, accelerators and beams, charged particle confinement, and quantum systems. The bibliography and author and subject indexes are also included.