{"product_id":"lyapunov-exponents-a-tool-to-explore-complex-dynamics-9781107030428","title":"Lyapunov Exponents: A Tool to Explore Complex Dynamics","description":"\u003cp\u003eLyapunov exponents lie at the heart of chaos theory  and are widely used in studies of complex dynamics. Utilising a pragmatic  physical approach  this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods  it then guides readers through to the most recent advances in applications to complex systems. Practical algorithms are thoroughly reviewed and their performance is discussed  while a broad set of examples illustrate the wide range of potential applications. The description of various numerical and analytical techniques for the computation of Lyapunov exponents offers an extensive array of tools for the characterization of phenomena such as synchronization  weak and global chaos in low and high-dimensional set-ups  and localization. This text equips readers with all the investigative expertise needed to fully explore the dynamical properties of complex systems  making it ideal for both graduate students and experienced researchers.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45666031042613,"sku":"ByrdShop_1107030420","price":101.36,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9781107030428.jpg?v=1782415923","url":"https:\/\/atxbooks.com\/products\/lyapunov-exponents-a-tool-to-explore-complex-dynamics-9781107030428","provider":"ATX Books","version":"1.0","type":"link"}