@inbook{a6c6e76ad3224eb38eb2afcb2447d6a8,

title = "Expanding the Applicability of the Competitive Modes Conjecture",

abstract = "The Competitive Modes Conjecture is a relatively new approach in the field of Dynamical Systems, aiming to understand chaos in strange attractors using Resonance Theory. Up till now, the Conjecture has only been used to study multipolynomial systems because of their simplicity. As such, the study of non-multipolynomial systems is sparse, filled with ambiguity, and lacks mathematical structure. This paper strives to rectify this dilemma, providing the mathematical background needed to rigorously apply the Competitive Modes Conjecture to a certain set of non-multipolynomial systems. Afterwards, we provide an example of this new theory in the non-multipolynomial Wimol-Banlue Attractor, something that up to this point has not been possible as far as the authors know.",

author = "Sudipto Choudhury and Huibert Reijm and Cornelis Vuik",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.",

year = "2021",

doi = "10.1007/978-3-030-53006-8_3",

language = "English",

isbn = "978-3-030-53005-1",

series = "Advanced Structured Materials",

publisher = "Springer",

pages = "31--43",

editor = "A.K. Abramian and I.V. Andrianov and V.A. Gaiko",

booktitle = "Nonlinear Dynamics of Discrete and Continuous Systems",

}