H. Susanto
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View article: Uncontrolled geostationary satellites: mapping periodic transitions to chaos with Lagrangian Descriptors
Uncontrolled geostationary satellites: mapping periodic transitions to chaos with Lagrangian Descriptors Open
Uncontrolled geostationary satellites abandoned near an unstable equilibrium point of the equator experience irregular transitions between dynamical states (continuous circulation, long and short libration). They are caused by the interact…
View article: Learning with Mandelbrot and Julia
Learning with Mandelbrot and Julia Open
Recent developments in applied mathematics increasingly employ machine learning (ML)-particularly supervised learning-to accelerate numerical computations, such as solving nonlinear partial differential equations. In this work, we extend s…
View article: Exponential asymptotics of quantum droplets and bubbles
Exponential asymptotics of quantum droplets and bubbles Open
This research investigates the formation and stability of localized states, known as quantum droplets and bubbles, in the quadratic-cubic discrete nonlinear Schrödinger equation. Near a Maxwell point, these states emerge from two fronts co…
View article: Physics-informed neural networks for high-dimensional solutions and snaking bifurcations in nonlinear lattices
Physics-informed neural networks for high-dimensional solutions and snaking bifurcations in nonlinear lattices Open
This paper introduces a framework based on physics-informed neural networks (PINNs) for addressing key challenges in nonlinear lattices, including solution approximation, bifurcation diagram construction, and linear stability analysis. We …
View article: Analisis Managerial Skill Kepala Sekolah di SD Islam Permata Mojosari Kab. Mojokerto
Analisis Managerial Skill Kepala Sekolah di SD Islam Permata Mojosari Kab. Mojokerto Open
This study aimed to analysed managerial skills of the principal of SD Islam Permata Mojosari, focusing on two aspects: developing school plans and leading the school in utilizing school resources, specifically human resources. This study e…
View article: Noise Evaluation of the Finalization Phase Construction Project of X Hospital
Noise Evaluation of the Finalization Phase Construction Project of X Hospital Open
This research aimed to identify and assess the noise levels at a construction project within X Hospital's B2nd, 5th, 8th, and 9th floors. The study employed a sound level meter according to the Indonesian National Standard (SNI) 7231:2009 …
View article: A Reinforcement Learning Based Decision-Support System for Mitigate Strategies During COVID-19: A Systematic Review
A Reinforcement Learning Based Decision-Support System for Mitigate Strategies During COVID-19: A Systematic Review Open
The past threat of the COVID-19 pandemic has challenged policymakers to develop effective decision-support systems. Reinforcement learning (RL), a branch of artificial intelligence, has emerged as a promising approach to designing such sys…
View article: Using Lagrangian descriptors to reveal the phase space structure of dynamical systems described by fractional differential equations: Application to the Duffing oscillator
Using Lagrangian descriptors to reveal the phase space structure of dynamical systems described by fractional differential equations: Application to the Duffing oscillator Open
We showcase the utility of the Lagrangian descriptors method in qualitatively understanding the underlying dynamical behavior of dynamical systems governed by fractional-order differential equations. In particular, we use the Lagrangian de…
View article: A finite difference method with symmetry properties for the high-dimensional Bratu equation
A finite difference method with symmetry properties for the high-dimensional Bratu equation Open
Solving the three-dimensional (3D) Bratu equation is highly challenging due to the presence of multiple and sharp solutions. Research on this equation began in the late 1990s, but there are no satisfactory results to date. To address this …
View article: The Impact of Soil Pollution on Human Health : Literature Review
The Impact of Soil Pollution on Human Health : Literature Review Open
Soil is the earth's layer that is crucial for the life of all living creatures. Chemicals, like pesticides, can introduce pollutants that contaminate the soil and negatively impact human health. Direct exposure to pesticides can lead to ac…
View article: Transparent PT-symmetric nonlinear networks
Transparent PT-symmetric nonlinear networks Open
We consider reflectionless wave propagation in networks modeled in terms of the nonlocal nonlinear Schrödinger (NNLS) equation on metric graphs, for which transparent boundary conditions are imposed at the vertices. By employing the ``pote…
View article: Neural networks for bifurcation and linear stability analysis of steady states in partial differential equations
Neural networks for bifurcation and linear stability analysis of steady states in partial differential equations Open
This research introduces an extended application of neural networks for solving nonlinear partial differential equations (PDEs). A neural network, combined with a pseudo-arclength continuation, is proposed to construct bifurcation diagrams…
View article: Periodic Solutions in Kolmogorov-Type Predator–Prey Systems
Periodic Solutions in Kolmogorov-Type Predator–Prey Systems Open
We consider a class of prey-predator models, i.e., a Kolmogorov-type system. We are interested in their dynamics when a certain parameter (that can be viewed as the death rate of the predator) changes from zero value to positive. By utiliz…
View article: Surge of power transmission in flat and nearly flat band lattices
Surge of power transmission in flat and nearly flat band lattices Open
Flat band systems can yield interesting phenomena, such as dispersion suppression of waves with frequency at the band. While linear transport vanishes, the corresponding nonlinear case is still an open question. Here, we study power transm…
View article: A Deep-Genetic Algorithm (Deep-GA) Approach for High-Dimensional Nonlinear Parabolic Partial Differential Equations
A Deep-Genetic Algorithm (Deep-GA) Approach for High-Dimensional Nonlinear Parabolic Partial Differential Equations Open
We propose a new method, called a deep-genetic algorithm (deep-GA), to accelerate the performance of the so-called deep-BSDE method, which is a deep learning algorithm to solve high dimensional partial differential equations through their …
View article: Higher-order composition of short- and long-period effects for improving analytical ephemeris computation
Higher-order composition of short- and long-period effects for improving analytical ephemeris computation Open
The construction of an analytic orbit theory that takes into account the main effects of the Geopotential is notably simplified when splitting the removal of periodic effects in several stages. Conversely, this splitting of the analytical …
View article: Undertaking climate change risk reduction: a case study of Green Siak in Indonesia
Undertaking climate change risk reduction: a case study of Green Siak in Indonesia Open
The growing body of literature addresses the role of state and non-state actors in the programme for reducing climate change risk. Unfortunately, the research studies collaboration among the stakeholders is extremely scarce. This paper con…