Infinitely many coexisting hidden attractors in a new hyperbolic-type memristor-based HNN

Author(s):  
Isaac Sami Doubla ◽  
Balamurali Ramakrishnan ◽  
Zeric Njitacke Tabekoueng ◽  
Jacques Kengne ◽  
Karthikeyan Rajagopal
2020 ◽  
Vol 3 (1) ◽  
Author(s):  
SHIVA DIXIT ◽  
MPAUL ASIR ◽  
AWADESH PRASAD ◽  
NIKOLAY V. KUZNETSOV ◽  
MANISH DEV SHRIMALI

2017 ◽  
Vol 12 (1) ◽  
pp. 126-134
Author(s):  
A.M. Ilyasov

Based on the generalized Perkins-Kern-Nordgren model (PKN) for the development of a hyperbolic type vertical hydraulic fracture, an exact solution is obtained for the hydraulic fracture self-oscillations after terminating the fracturing fluid injection. These oscillations are excited by a rarefaction wave that occurs after the injection is stopped. The obtained solution was used to estimate the height, width and half-length of the hydraulic fracture at the time of stopping the hydraulic fracturing fluid injection based on the bottomhole pressure gauge data.


Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 616
Author(s):  
Marek Berezowski ◽  
Marcin Lawnik

Research using chaos theory allows for a better understanding of many phenomena modeled by means of dynamical systems. The appearance of chaos in a given process can lead to very negative effects, e.g., in the construction of bridges or in systems based on chemical reactors. This problem is important, especially when in a given dynamic process there are so-called hidden attractors. In the scientific literature, we can find many works that deal with this issue from both the theoretical and practical points of view. The vast majority of these works concern multidimensional continuous systems. Our work shows these attractors in discrete systems. They can occur in Newton’s recursion and in numerical integration.


2018 ◽  
Vol 133 (12) ◽  
Author(s):  
Hayder Natiq ◽  
M. R. M. Said ◽  
M. R. K. Ariffin ◽  
Shaobo He ◽  
Lamberto Rondoni ◽  
...  

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