Oscillations

This book discusses continuous and discrete nonlinear systems in systematic and sequential approaches. The unique feature of the book is its mathematical theories on flow bifurcations, nonlinear oscillations, Lie symmetry analysis of nonlinear systems, chaos theory, routes to chaos and multistable coexisting attractors. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, featuring a multitude of detailed worked-out examples alongside comprehensive exercises. The book is useful for courses in dynamical systems and chaos and nonlinear dynamics for advanced undergraduate, graduate and research students in mathematics, physics and engineering.

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The past decade has seen the emergence and rapid development of particle physics experiments performed in underground laboratories and other non-accelerator installations. Such work allows profound questions of particle physics beyond the capabilities of modern accelerators to be attacked. At a time when elementary particle physics has reached a stage at which it places extreme requirements on new generations of accelerators, such work increases in importance.

This textbook presents problems with detailed solutions showing how to apply quantum theory to modern physics. The text is divided in three parts, the first dealing with elementary particles, nuclei and atoms, the second presents quantum entanglement and measurement. Finally complex systems are examinated in depth. The aim of the text is to guide the student towards applying quantum mechanics to research problems. Advanced undergraduates and graduate students will find a rich and challenging source for improving their skills.