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Nonlinear Dynamics and Complexity

Part of the Nonlinear Systems and Complexity Book Series (volume 36)

Editors: Pinto, Carla M.A.

DOI: 10.1007/978-3-031-06632-0

ISBN: 978-3-031-06631-3

Publisher: Springer International Publishing - Springer Journals

May 11, 2022

1 - 10 of 23 Chapters

LitStream

Chapter 1Compartmental Poisson Stability in Non-autonomous Differential Equations

Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek

Pages: 1 –23

[In the present research, we have decided to combine periodic dynamics with the phenomenon of Poisson stability. That is, one of the simplest forms of oscillations is amalgamated with the most sophisticated recurrence type. The present products of the design are modulo periodic Poisson stable...
LitStream

Chapter 2Analysis of the Temporal Evolution of Plumeria Bud by Measuring Its Complex Impedance: Detection of the Fractal Element with Complex Conjugated Power-Law Exponents

Nigmatullin, Raoul; Sarkar, Samyadip; Biswas, Karabi

Pages: 25 –44

[For the first time, this chapter analyzes the evolution stages of an unblown bud (plumeria) while monitoring the temporal evolution by measuring the behavioral variations in the complex impedance. Owing to their overabundance in tropical and subtropical areas and the superior medicinal and...
LitStream

Chapter 3About the Simulations of Maxwell Equations: Some Applications

Velasco, M. Pilar; Vázquez-Poletti, J. L.; Vázquez, Luis

Pages: 45 –54

[A panoramic view of certain large and massive simulations related to the propagation of the electromagnetic waves carried out by our team at Universidad Complutense of Madrid (Spain).]
LitStream

Chapter 4A Computational Probabilistic Calibration of the Pielou’s Model to Study the Growth of Breast Tumors: A Comparative Study

Burgos, Clara; Cortés, Juan-Carlos; López-Navarro, Elena; Martínez-Rodríguez, David; Moscardó-García, Ana; Villanueva, Rafael-J.

Pages: 55 –69

[In this chapter, we model breast tumor’s growth with the logistic discrete Pielou model. Data of tumor volume is retrieved from the literature. We assign probability density functions (PDF) to the data and their uncertainty using the principle of maximum entropy. Then, we propose a computational...
LitStream

Chapter 5Invariant Manifolds in the Second-Order Maxwell–Bloch Equations

Rothos, V. M.; Vasilopoulos, P. V.; Charalambopoulos, A.

Pages: 71 –99

[We consider the dynamics of the general Maxwell–Bloch equations modified by a linear restoring term. We use the slowly varying amplitude approximation to eliminate second-order derivatives in the polarization, but we keep the second-order derivatives in the electric field. This model governs a...
LitStream

Chapter 6Computing Chaotic Eigenvectors in Narrow Energy Windows

Revuelta, F.; Vergini, E.; Benito, R. M.; Borondo, F.

Pages: 101 –131

[In this chapter, we report on a method to compute chaotic eigenfunctions in narrow energy windows using very efficient semiclassical basis sets. The basis elements are formed by scar functions, which are wave functions localized over unstable periodic orbits. The basis size is of the same order...
LitStream

Chapter 7Composition of Fuzzy Numbers with Chaotic Maps

Charalampidis, Nikolaos; Volos, Christos; Moysis, Lazaros; Nistazakis, Hector E.; Stouboulos, Ioannis

Pages: 133 –150

[In the research on chaotic systems, which are used for cryptography and secure communication schemes, a key characteristic is the introduction of novel chaotic systems, usually by adding complexity to the existing ones in order to ensure security. In this direction, this chapter proposes novel...
LitStream

Chapter 8Dynamical Analysis of a Three-Dimensional Non-autonomous Chaotic Circuit Based on a Physical Memristor

Lazaros, Laskaridis; Volos, Christos; Stouboulos, Ioannis

Pages: 151 –173

[As shown by Leon Chua in 1976 a physical thermistor can be modeled as a memristive device. Later, Ginoux et al. designed a circuit with four elements, an inductor, a capacitor, a nonlinear resistor, and a thermistor, which plays the role of a nonlinear locally active memristor. In this work, the...
LitStream

Chapter 9On the Probabilistic Extension of the Classical Epidemiological Compartmental Model

Barber, Xavier; Falcó, Antonio; Martinez-Garcia, Marina

Pages: 175 –200

[The worldwide SARS-Cov2 outbreak has shown the importance of the science, and surprisingly thanks to the classical models for infectious diseases used by scientists, where the mathematics has played an important role, to study and predict the short-, medium-, and long-term behaviour of the...
LitStream

Chapter 10Repellers for the Laguerre Iteration Function

Bělík, Pavel; Drakopoulos, Vasileios

Pages: 201 –219

[For polynomials some of whose zeros are complex, little is known about the overall convergence properties of Laguerre’s function. This chapter provides an outline of this function viewed as a dynamic system which often studied by many researchers and includes some of the latest research made by...

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